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Finding the Fourth Proportional to 278,377.21, 417,592.68 and 78,704.11

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Solution

The fourth proportional to 278,377.21, 417,592.68 and 78,704.11 is: 118,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,377.21 : 417,592.68 = 78,704.11 : x
  2. Step 2: Convert to fraction form
    278,377.21/417,592.68 = 78,704.11/x
  3. Step 3: Cross multiply
    278,377.21x = 417,592.68 × 78,704.11
  4. Step 4: Simplify right side
    278,377.21x = 32,866,260,221.91
  5. Step 5: Solve for x
    x = 32,866,260,221.91/278,377.21
  6. Step 6: Final answer
    x = 118,063.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.